(a) Prove the reduction formula y cosn x dx 1 n cosn21 x sin x 1 n 2 1 n y cosn22 x dx

Chapter 7, Problem 48

(choose chapter or problem)

(a) Prove the reduction formula y cosn x dx 1 n cosn21 x sin x 1 n 2 1 n y cosn22 x dx (b) Use part (a) to evaluate y cos2 x dx. (c) Use parts (a) and (b) to evaluate y cos4 x dx

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